📐 Algebra Learning Hub
Class 10 (SEE Nepal) • Sequences • Series • Equations
⭐ XP Points
0
🎖️ Level
1
✅ Accuracy
0%
📊 Progress
🔺 Novice
📈 Arithmetic Sequence & Series
2, 5, 8, 11, 14, 17
📊 Results
nth Term: 17
Sum of n terms: 57
Arithmetic Mean: 9.5
aₙ = a + (n-1)d
Sₙ = n/2[2a + (n-1)d]
Sₙ = n/2[2a + (n-1)d]
📊 Geometric Sequence & Series
2, 4, 8, 16, 32, 64
📊 Results
nth Term: 64
Sum of n terms: 126
Geometric Mean: 11.31
aₙ = ar^(n-1)
Sₙ = a(rⁿ-1)/(r-1)
Sₙ = a(rⁿ-1)/(r-1)
🔢 Arithmetic Mean & Geometric Mean
A.M = 10.00 | G.M = 8.00
📐 Relationship
Formula:
AM = (a + b)/2
GM = √(ab)
Property: AM ≥ GM (always true for positive numbers)
AM = (a + b)/2
GM = √(ab)
Property: AM ≥ GM (always true for positive numbers)
🔷 Quadratic Equation Solver
Enter a, b, c and click Solve
📊 Quadratic Graph
Vertex & Axis will appear here
📈 Exponential Equations & Growth
2^5 = 32
📊 Exponential Graph
🧮 Rational Expression Simplifier
Select an expression and click Simplify
📋 Steps to Simplify
1️⃣ Factor numerator & denominator
2️⃣ Identify common factors
3️⃣ Cancel common factors
4️⃣ State domain restrictions
2️⃣ Identify common factors
3️⃣ Cancel common factors
4️⃣ State domain restrictions